Question

How do you simplify `tan(x)/sec(x)`?

Answer 1

`=sinx`

Explanation:

`tanx/secx`
`=(tanx)(cosx)`
`=((sinx)(cosx))/cosx`
`=sinx`

Answer 2

`sinx`

Explanation:

Using `color(blue)"trigonometric identities"`

`color(orange)"Reminder"`

`color(red)(|bar(ul(color(white)(a/a)color(black)(tanx=(sinx)/(cosx)" and " secx=1/(cosx))color(white)(a/a)|)))`

`rArr(tanx)/(secx)=((sinx)/(cosx))/(1/(cosx))=(sinx)/cancel(cosx)xxcancel(cosx)/1=sinx`